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Unit 7

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Lesson 07

Exponential Functions - Altogether

Students analyze an error where a line was drawn through two points of an exponential function, then try a similar problem. A group practice handout brings the unit together with graphing, writing exponential functions from tables, and word problems, followed by spiraling practice on exponents, domain and range, and systems.

50 minutes

Free

Routines:

Error Analysis, Spiraling

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Lesson Prep

Lesson Details

  • Duration: 50 minutes

  • Learning Goal: Build procedural fluency with writing and graphing exponential functions.

Answer Keys

Classwork

Standards

Common Core

  • HSF.LE.A.2 – Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

TEKS

  • A.9(C) – write exponential functions in the form f(x) = abx (where b is a rational number) to describe problems arising from mathematical and real-world situations, including growth and decay

  • A.9(D) – graph exponential functions that model growth and decay and identify key features, including y-intercept and asymptote, in mathematical and real-world problems

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